The most common name for this part of Palestine worldwide since the middle of the last century is the English name West Bank, also called West Bank in German. These terms refer to the land west of the Jordan River and the state of (Trans)Jordan. Bank stands for the English word for bank, embankment.
The terms West Bank and East Bank were coined by Jordanian King Abdallah I, who translated these English terms into Arabic, where they became popular, and from which they were then translated back into English.
At the time of British rule (League of Nations Mandate for Palestine), the terms Cis-Jordan and Trans-Jordan, also West and East Palestine were in common use. Both Winston Churchill and the politician Zeev Jabotinsky spoke of "the two banks of the river". East Palestine, also called the East Bank, was separated from Mandate Palestine by the British and became an emirate under the name Transjordan, gaining independence in 1946 as the Kingdom of Transjordan. In the first Arab-Israeli war of 1948, Transjordan captured the eastern part of Jerusalem and large parts of the area of western Palestine designated as an Arab state in the UN partition plan. After the military occupation and subsequent annexation of the territories of Western Palestine conquered in 1948, the state was renamed in 1950 and henceforth called the Hashemite Kingdom of Jordan. Today, the Arab state of Jordan has finally returned all claims to its former occupied territory. The name Cisjordan, which is still in use today in Romance languages, translates as on this side of the Jordan River; by analogy, Transjordan means on the other side of the Jordan River.
"Judea and Samaria" as a designation for the whole area goes back to the New Testament and was also used in reverse order. Sometimes names like the hill country of Samaria or Judea were and are used.
The original names Yehudah and Shomron are already found in the Jewish Bible. Jehudah, in Greek and Latin Judea, is the hill area south of Jerusalem, Shomron, in Greek and Latin Samaria, that north of the city to south of Galilee. In Israel, the area has been referred to as Judea and Samaria (Yehuda we'Shomron) in official publications since the 1970s.